After downloading and installing Radeon Software Adrenalin Edition 18.3.3 Highlights and using it to update my graphics card drivers, I have since been experiencing constant brief screen freeze issues. The freezes repeat about every 5 seconds. Is there any practical fix to this issue without having to downgrade my drivers?

I have not seen anyone talking about this specific issue. However look over the following your issue may be fixed by doing or redoing things using the following advice:

It is always recommended that laptops (or other custom dual graphics systems) use Manufacturers versions of the drivers, as they are often very customized. The AMD drivers, are Vanilla and would lack any custom changes.

When you installed the drivers there are some guide lines that help with getting it right (your manufacturer may have additional instructions). It can be very important to do everything as recommended. See this guide: Laptop graphics update...How to

Worth noting too, you will want to make sure all the other drivers are current, bios/firmware for system are the latest and all OS updates are installed. Doing this really increases the odds of success.

If you continue to have issue, you may certainly ask here still, but your manufacturer is the expert on that machine. You can certainly ask question to them or any forums they might have too. It is almost always faster to get answers from people with the exact same hardware.